Properties of strictly positive real functions: products and compositions

DOI10.1080/00207720903072290zbMath1301.94174OpenAlexW2074980993MaRDI QIDQ2932638

Angel Rodriguez Palacios, José-Job Flores-Godoy, Guillermo Fernández-Anaya

Publication date: 3 December 2014

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207720903072290

zbMATH Keywords

passivitysubstitutionscomposition of functions

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Adaptive or robust stabilization (93D21) Analytic circuit theory (94C05)

Related Items (1)

Robustness properties preservation in suboptimal T1DM H_∞ control: ω‐SPR substitutions

Cites Work

• Characterizing families of positive real matrices by matrix substitutions on scalar rational functions
• Robust stability of a class of polynomial families under nonlinearly correlated perturbations
• Frequency domain conditions for strictly positive real functions
• Design of robust strictly positive real transfer functions
• On the design of strictly positive real transfer functions
• Synthesis of positive real feedback systems: a simple derivation via Parrott's theorem
• Synthesis of positive real ℋ/sub 2/ controllers
• Simultaneous stabilization using evolutionary strategies
• On the existence of robust strictly positive real rational functions
• Design of strictly positive real systems using constant output feedback
• Preservation of SPR functions and stabilization by substitutions in SISO plants
• A Note on Spectral Conditions for Positive Realness of Transfer Function Matrices
• Using an Observer to Transform Linear Systems Into Strictly Positive Real Systems

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